Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given the equation
y = [tex]\frac{1}{2}[/tex] x + 2 ← in slope- intercept form
with slope m = [tex]\frac{1}{2}[/tex] and y- intercept c = 2
given a line with slope m
• if m > 0, then line slopes upwards from left to right
• if m < 0, then line slopes downwards from left to right
here m = [tex]\frac{1}{2}[/tex] > 0, so line slopes upwards from left to right
The only graph sloping upwards from left to right and crossing the y- axis at 2 is
graph D
